117116 has 24 divisors (see below), whose sum is σ = 228480. Its totient is φ = 52272.

The previous prime is 117109. The next prime is 117119. The reversal of 117116 is 611711.

117116 = T₁₃ + T₁₄ + ... + T₈₈.

It is a magnanimous number.

It is a junction number, because it is equal to n+sod(n) for n = 117094 and 117103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117116.

It is not an unprimeable number, because it can be changed into a prime (117119) by changing a digit.

117116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2¹¹⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

117116 is a deficient number, since it is larger than the sum of its proper divisors (111364).

117116 is a wasteful number, since it uses less digits than its factorization.

117116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its digits is 42, while the sum is 17.

The square root of 117116 is about 342.2221500721. Note that the first 3 decimals coincide. The cubic root of 117116 is about 48.9258910263.

Adding to 117116 its reverse (611711), we get a palindrome (728827).

The spelling of 117116 in words is "one hundred seventeen thousand, one hundred sixteen".